12004242433304 has 128 divisors (see below), whose sum is σ = 25189315441920. Its totient is φ = 5317130649600.

The previous prime is 12004242433171. The next prime is 12004242433307. The reversal of 12004242433304 is 40333424240021.

12004242433304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12004242433307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1794084599 + ... + 1794091289.

It is an arithmetic number, because the mean of its divisors is an integer number (196791526890).

Almost surely, 2^{12004242433304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12004242433304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12594657720960).

12004242433304 is an abundant number, since it is smaller than the sum of its proper divisors (13185073008616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12004242433304 is a wasteful number, since it uses less digits than its factorization.

12004242433304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10009 (or 10005 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 12004242433304 its reverse (40333424240021), we get a palindrome (52337666673325).

The spelling of 12004242433304 in words is "twelve trillion, four billion, two hundred forty-two million, four hundred thirty-three thousand, three hundred four".